Will people who get American green cards through political asylum in China affect their lives?

In your case, whether you are a real shelter or a fake shelter,

You can't even go back to China.

Otherwise, the Immigration Bureau will consider your asylum fraudulent and revoke your green card.

Enter the repatriation process, including your family.

You can't return to China until you are naturalized in the United States.

See if the consulate will give you a visa.

Discussion on bkk5 answer;

BKK5: You are very kind, but your answer is very problematic.

1. Do you still have your China passport? If not, take your green card and apply for a passport back to the China Embassy or Consulate.

1) The China Consulate does not extend or issue new passports to asylum seekers with green cards at all.

2) Once you enter the China Consulate to apply for a passport extension or a new passport, the US Immigration Bureau will decide that your asylum is not established.

2.2. It takes about three months to apply for US re-entry permit (I- 13 1 form) and refugee travel permit. Take your refugee card and green card, apply for a Canadian visa, and then go to Canada from America.

China passport and American green card do not need a visa to enter Canada!

It's impossible to get a travel permit in China with an asylum green card.

In addition:

Your green card has the types of green cards and the classification of asylum cards.

Even if you go back to China once in a while, you will not be noticed by immigration.

But when you apply for naturalization or extend your green card, you will definitely get into trouble.

This is a big problem.